a foul tip of a baseball is hit straight upward. The function s(t) = -16t^2 +96t+4 describes the ball's height above the ground, s(t), in feet, t seconds after it was hit. Let s'(t)= -32t +96.
Use the quadratic formula to determine how many seconds it will take for the ball to hit the ground.

Question

a foul tip of a baseball is hit straight upward. The function s(t) = -16t^2 +96t+4 describes the ball's height above the ground, s(t), in feet, t seconds after it was hit. Let s'(t)= -32t +96.
Use the quadratic formula to determine how many seconds it will take for the ball to hit the ground.

anonymous · Answer

s(t) is the height above the ground. you want to find the t values which make s(t) = 0.

s'(t) seems unnecessary for this problem.

quadratic formula for $$at^{2} + b{t} + c$$

t = $$\frac{ -b \pm \sqrt{b^{2} - 4ac} }{ 2a }$$

anonymous · Answer

it should say: quadratic formula for $$at^{2} + bt +c = 0$$

let me know if you have questions about what i said